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Questions on Oscillation, Paper 1 1. The length of seconds pendulum on the surface of earth is 1 m. the length of same pendulum on the surface of moon, where acceleration due to gravity is (1/6)th of the g on the surface of earth is (NCERT 71) (a) 36 m (b) 1 m (c) 361 (d) m61

4. A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle u with the vertical (CPMT 83) (a) direction forward the ingatan1||.|

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(b) direction backward the ingatan1||.|

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(c) direction backward the inagtan1|.|

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(d) direction forward the inagtan1|.|

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5. The angular velocity and the amplitude of a simple pendulum is e and a respectively. At a displacement x from the mean position its kinetic energy is T and potential energy is V, then the ratio of T to V is (CBSE 91) (a) 2 2 22 2x axe e (b) ( )2 22x ax

(c) 2 22 2 2xx ae e (d) 22 2xx a

6. A particle executes S.H.M. of amplitude A. at what distance from mean position its kinetic energy is equal to its potential energy? (MHT-CET 99) (a) 0.51 A (b) 0.61 A (c) 0.71 A (d) 0.81 A

8. The mass and diameter of a planet are twice those of earth. the period of oscillation of pendulum on this planet will be (if it is a seconds pendulum on earth) (IIT 73) (a) Second21 (b) Second 2 2 (c) 2 second (d) Second21

9. A seconds pendulum is placed in space laboratory orbiting around the earth at a height 3R from earths surface where R is earths radius. The time period of the pendulum will be (CPMT 89) (a) Zero (b) s 3 2 (c) 4 s (d) Infinite

10. The pendulum is acts as second pendulum on earth. Its time on a planet, whose mass and diameter are twice that of earth, is (MHT-CET-2005) (a) s 2 (b) 2 s (c) s 2 2 (d) 1/ s 2

11. A particle of mass m is hanging vertically by an ideal spring of force constant K. if the mass is made to oscillate vertically, its total energy is (CPMT 78) (a) Maximum at extreme position (b) Maximum at mean position (c) Minimum at mean position (d) Same at all positions

14. A particle is vibrating in S.H.M. with an amplitude of 4 cm. at what displacement from the equilibrium position is its energy half potential and half kinetic?(NCERT 84) (a) 2.5 cm (b) cm 2 (c) 3 cm (d) 2 cm

17. A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration a, the time period of the pendulum will (NCERT 80) (a) Increase (b) Decrease (c) Remain unaffected (d) Become infinite

18. A particle executing a vibratory motion while passing through the mean position has (CPMT 92) (a) Maximum P.E. and minimum K.E. (b) Maximum K.E. and minimum P.E. (c) P.E. and K.E. both maximum (d) P.E. and K.E. both minimum

20. A simple pendulum has a period T. it is taken inside a lift moving up with uniform acceleration g/3. now its time period will be (NCERT 90) (a) T 2 (b) 3T 2

(c) T23 (d) 2T 3

21. For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes. (MHT CET 2006) (a) Half of initial value (b) One fourth of initial value (c) Double of initial value (d) Four time initial value

24. A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a then the time period is given T = 2tgl, where g is equal to (CBSE 91) (a) u ag (b) 3 a (c) g + a (d) 2 2a g +

25. Two equal negative charges q are fixed at point (0, a) and (0, a) on the Y-axis A positive charge q is released from rest at point (2a, 0) on the X-axis. The charge Q will (IIT 83) (a) Execute simple harmonic motion about the origin (b) Move to the origin and remained at rest (c) Move to infinity (d) Execute oscillatory motion but not simple harmonic motion